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444232140 = 2235112431423
BaseRepresentation
bin11010011110100…
…111000111001100
31010221220022221020
4122132213013030
51402210412030
6112025234140
714002624302
oct3236470714
91127808836
10444232140
11208837200
12104932950
137105a571
1442dda272
1528eee510
hex1a7a71cc

444232140 has 144 divisors (see below), whose sum is σ = 1399985664. Its totient is φ = 105114240.

The previous prime is 444232123. The next prime is 444232163. The reversal of 444232140 is 41232444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444232140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311469 + ... + 312891.

Almost surely, 2444232140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699992832).

444232140 is an abundant number, since it is smaller than the sum of its proper divisors (955753524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444232140 is a wasteful number, since it uses less digits than its factorization.

444232140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444232140 is about 21076.8152243170. The cubic root of 444232140 is about 763.0212950546.

Adding to 444232140 its reverse (41232444), we get a palindrome (485464584).

The spelling of 444232140 in words is "four hundred forty-four million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 330 363 430 473 484 516 605 645 660 726 860 946 1210 1290 1419 1423 1452 1815 1892 2365 2420 2580 2838 2846 3630 4269 4730 5203 5676 5692 7095 7115 7260 8538 9460 10406 14190 14230 15609 15653 17076 20812 21345 26015 28380 28460 31218 31306 42690 46959 52030 61189 62436 62612 78045 78265 85380 93918 104060 122378 156090 156530 172183 183567 187836 234795 244756 305945 312180 313060 344366 367134 469590 516549 611890 673079 688732 734268 860915 917835 939180 1033098 1223780 1346158 1721830 1835670 2019237 2066196 2582745 2692316 3365395 3443660 3671340 4038474 5165490 6730790 7403869 8076948 10096185 10330980 13461580 14807738 20192370 22211607 29615476 37019345 40384740 44423214 74038690 88846428 111058035 148077380 222116070 444232140